Details

analyze146.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify161.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.0b	(/.f64 x (*.f64 y y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
3×	`add-sqr-sqrt_binary64_9307` `-un-lft-identity_binary64_9285` `times-frac_binary64_9291` `associate-/l_binary64_9230` `add-cube-cbrt_binary64_9320`
2×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319`
1×	`clear-num_binary64_9284` `cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow1_binary64_9346` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324` `associate-/r*_binary64_9229` `div-inv_binary64_9282`

Counts

1 → 21

Calls

1 calls:

10.0ms

(/.f64 x (*.f64 y y))

series37.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(/.f64 x (*.f64 y y))

simplify133.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	6109	223

prune45.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

Compiler

Compiled 278 to 132 computations (52.5% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (/.f64 x y) y)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_9291`
43×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
13×	`associate-/l*_binary64_9230`
6×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
5×	`div-inv_binary64_9282`
3×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `associate-/r*_binary64_9229`
1×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `pow1_binary64_9346` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324`

Counts

1 → 70

Calls

1 calls:

12.0ms

(/.f64 (/.f64 x y) y)

series34.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(/.f64 (/.f64 x y) y)

simplify176.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4763	1069
1	4763	1069

prune112.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0b

Counts

78 → 6

Compiler

Compiled 1063 to 454 computations (57.3% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_9307`
25×	`times-frac_binary64_9291`
23×	`add-exp-log_binary64_9323`
17×	`*-un-lft-identity_binary64_9285`
15×	`add-cube-cbrt_binary64_9320`
13×	`associate-l_binary64_9226` `associate-r_binary64_9225` `add-cbrt-cube_binary64_9321`
8×	`prod-exp_binary64_9334` `div-exp_binary64_9336`
6×	`unswap-sqr_binary64_9253`
4×	`cbrt-unprod_binary64_9318` `cbrt-undiv_binary64_9319`
3×	`pow1_binary64_9346`
2×	`rec-exp_binary64_9335` `1-exp_binary64_9329` `div-inv_binary64_9282`
1×	`associate-l/_binary64_9228` `frac-times_binary64_9295` `pow-prod-down_binary64_9356` `add-log-exp_binary64_9324` `associate-r/_binary64_9227` `*-commutative_binary64_9216`

Counts

1 → 56

Calls

1 calls:

19.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

series26.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 (/.f64 1 y) (/.f64 x y))

simplify181.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	5798	614

prune77.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

Compiler

Compiled 776 to 358 computations (53.9% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
0.5b	(pow.f64 (cbrt.f64 y) 2)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite224.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Rules

281×	`times-frac_binary64_9291`
280×	`add-sqr-sqrt_binary64_9307`
124×	`*-un-lft-identity_binary64_9285`
99×	`add-cube-cbrt_binary64_9320`
95×	`add-exp-log_binary64_9323`
89×	`cbrt-prod_binary64_9316`
82×	`associate-r_binary64_9225`
55×	`unswap-sqr_binary64_9253`
48×	`div-exp_binary64_9336`
44×	`unpow-prod-down_binary64_9364`
37×	`associate-l_binary64_9226`
30×	`prod-exp_binary64_9334`
21×	`add-cbrt-cube_binary64_9321`
14×	`sqr-pow_binary64_9257` `unpow2_binary64_9350`
10×	`pow-exp_binary64_9353` `pow-to-exp_binary64_9354`
9×	`rec-exp_binary64_9335` `cbrt-undiv_binary64_9319` `1-exp_binary64_9329`
8×	`div-inv_binary64_9282`
7×	`pow1_binary64_9346`
6×	`cbrt-unprod_binary64_9318`
4×	`add-log-exp_binary64_9324`
3×	`pow1/3_binary64_9367` `pow-unpow_binary64_9362`
2×	`pow-pow_binary64_9357`
1×	`associate-l/_binary64_9228` `frac-times_binary64_9295` `pow-prod-down_binary64_9356` `associate-r/_binary64_9227` `*-commutative_binary64_9216`

Counts

4 → 266

Calls

4 calls:

137.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))
5.0ms	(pow.f64 (cbrt.f64 y) 2)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series580.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(pow.f64 (cbrt.f64 y) 2)
162.0ms	(cbrt.f64 y)
153.0ms	(cbrt.f64 y)
79.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x y) (cbrt.f64 y)))

simplify203.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5024	4969

prune492.0ms (11.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	278	6	284

Merged error: 0b

Counts

284 → 6

Compiler

Compiled 5537 to 2349 computations (57.6% saved)

regimes296.0ms (6.9%)

Compiler: Compiled 1297 to 920 computations (29.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample1.2s (28.4%)

Algorithm

1×

intervals

Results

376.0ms	8000×	body	128	valid
19.0ms	422×	body	128	invalid

Compiler

Compiled 248 to 181 computations (27% saved)

Details

analyze146.0ms (3.4%)

sample24.0ms (0.6%)

simplify161.0ms (3.7%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series37.0ms (0.9%)

simplify133.0ms (3.1%)

prune45.0ms (1.1%)

localize9.0ms (0.2%)

rewrite23.0ms (0.5%)

series34.0ms (0.8%)

simplify176.0ms (4.1%)

prune112.0ms (2.6%)

localize11.0ms (0.3%)

rewrite27.0ms (0.6%)

series26.0ms (0.6%)

simplify181.0ms (4.2%)

prune77.0ms (1.8%)

localize20.0ms (0.5%)

rewrite224.0ms (5.2%)

series580.0ms (13.5%)

simplify203.0ms (4.7%)

prune492.0ms (11.5%)

regimes296.0ms (6.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.4%)

Profiling